If the value of x in the equation 4x5 equals 3 is half the value of x in the equation kx plus 10 equals 2 then what is the value of k?

Answer 1

Assume that the expression 4x5 in the question is 4x5.

4x5 = 3 : x5 = 3/4 : x = 5√(3/4) : then 2k.5√(3/4) + 10 = 2 : 2k.5√(3/4) = 2 - 10 = -8 :

k = -4 ÷ 5√(3/4) = -4 ÷ 0.9441 = -4.2369 (4dp)